105308480 has 28 divisors (see below), whose sum is σ = 250766580. Its totient is φ = 42123264.

The previous prime is 105308477. The next prime is 105308503. The reversal of 105308480 is 84803501.

It can be written as a sum of positive squares in 2 ways, for example, as 30382144 + 74926336 = 5512^2 + 8656^2 .

It is a super-2 number, since 2×105308480² = 22179751919820800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164225 + ... + 164864.

Almost surely, 2^105308480 is an apocalyptic number.

105308480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105308480 is an abundant number, since it is smaller than the sum of its proper divisors (145458100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105308480 is an equidigital number, since it uses as much as digits as its factorization.

105308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329106 (or 329096 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 105308480 is about 10261.9920093518. The cubic root of 105308480 is about 472.2309508472.

The spelling of 105308480 in words is "one hundred five million, three hundred eight thousand, four hundred eighty".